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Finding the Third Proportional to 778,876 and 1,674,088

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Solution

The third proportional to 778,876 and 1,674,088 is: 3,598,224.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,876 : 1,674,088 = 1,674,088 : x
  2. Step 2: Convert to fraction form
    778,876/1,674,088 = 1,674,088/x
  3. Step 3: Cross multiply
    778,876x = 1,674,088 × 1,674,088
  4. Step 4: Simplify right side
    778,876x = 2,802,570,631,744
  5. Step 5: Solve for x
    x = 2,802,570,631,744/778,876
  6. Step 6: Final answer
    x = 3,598,224.41

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.